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A parallelogram has opposite sides equal in length and parallel. A trapezoid has at least 1 pair of parallel sides. EXAMPLE Classify a Quadrilateral 1 Classify the quadrilateral in as many ways as possible.It can be classified as a parallelogram, rectangle, square, and rhombus. 10-8 Quadrilaterals 0410-0413_CH10L8-105711.indd 410 7/20/09 11:41:30 AM.
Artzy proves these propositions about quadrilateral shapes: 1  If p = ( 1 â q ) â 1 , {\displaystyle p=(1-q)^{-1},} then the quadrilateral is a parallelogram. 2  If a parallelogram has |arg p| = |arg q|, then it is a rhombus. 3  When p = 1 + i and q = (1 + i)/2, then the quadrilateral is square.